Yes, I was trying to convey that, that each wheel might have had its own distance that it travels before it locks into place.].
Well, yeah, pretty much by definition. The third wheel always travels the furthest, as they all start simultaneously and it is the last to stop.
But, perhaps like a windup toy, there would not be such a precise rotation speed, as well as other factors, to render it a completely variable (but not random) outcome.
There are enough mechanical factors at play here (a spinning reel with a jury-rigged stopping mechanism, whether the spin was actually stopped by hand instead of on some kind of timing, etc.), that I'm not sure why you're not willing to call it "random." If it's because that, yes, with a perfect knowledge of the physics and forces involved you could conceivably guess where the projector is going to stop, well, then, sure, but I suggest the same could be said of a flipped coin.
My theory on the Bullseye, at least for the bonus round, was that the sequence was already set as to what was to appear in each window on each spin.
My theory is, being a Barry & Enright show, there is no way in nine purple hells they would do it that way.